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Languages : en
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A solution method is derived in this paper for solving a system of linear rational-expectations equation with lagged expectations (e.g., models incorporating sticky information) using the method of undetermined coefficients for the infinite MA representation. The method applies a combination of a Generalized Schur Decomposition familiar elsewhere in the literature and a simple system of linear equations when lagged expectations are present to the infinite MA representation. Execution is faster, applicability more general, and use more straight-forward than with existing algorithms. Current methods of truncating lagged expectations are shown to not generally be innocuous and the use of such methods are rendered obsolete by the tremendous gains in computational efficiency of the method here which allows for a solution to floating-point accuracy in a fraction of the time required by standard methods. The associated computational application of the method provides impulse responses to anticipated and unanticipated innovations, simulations, and frequency-domain and simulated moments. -- Lagged expectations ; linear rational expectations models; block tridiagonal ; Generalized Schur Form ; QZ decomposition ; LAPACK
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Languages : en
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Book Description
A solution method is derived in this paper for solving a system of linear rational-expectations equation with lagged expectations (e.g., models incorporating sticky information) using the method of undetermined coefficients for the infinite MA representation. The method applies a combination of a Generalized Schur Decomposition familiar elsewhere in the literature and a simple system of linear equations when lagged expectations are present to the infinite MA representation. Execution is faster, applicability more general, and use more straight-forward than with existing algorithms. Current methods of truncating lagged expectations are shown to not generally be innocuous and the use of such methods are rendered obsolete by the tremendous gains in computational efficiency of the method here which allows for a solution to floating-point accuracy in a fraction of the time required by standard methods. The associated computational application of the method provides impulse responses to anticipated and unanticipated innovations, simulations, and frequency-domain and simulated moments. -- Lagged expectations ; linear rational expectations models; block tridiagonal ; Generalized Schur Form ; QZ decomposition ; LAPACK
Author: Charles H. Whiteman
Publisher: U of Minnesota Press
ISBN: 1452907935
Category : Business & Economics
Languages : en
Pages : 151
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Author: L. Broze
Publisher: Routledge
ISBN: 1136457801
Category : Business & Economics
Languages : en
Pages : 144
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A comprehensive exposition of rational expectations models is provided here, working up from simple univariate models to more sophisticated multivariate and non-linear models.
Author: Olivier J. Blanchard
Publisher:
ISBN:
Category : Rational expectations (Economic theory)
Languages : en
Pages : 38
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Many methods have been proposed for the solution and simulation of medium or large size models under the assumption of rational expectations. The purpose of this paper is to present these methods, and to show how and where each can be applied. The methods fall into two groups. Methods in the first can be used to solve for perfect foresight paths in non-linear models. Methods in the second can be used in linear models, to solve either for paths or processes followed by endogenous variables. All the methods described here have been used in empirical applications and computer algorithms are available for most.
Author: Lars Peter Hansen
Publisher: CRC Press
ISBN: 1000308960
Category : Mathematics
Languages : en
Pages : 294
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Book Description
At the core of the rational expectations revolution is the insight that economic policy does not operate independently of economic agents' knowledge of that policy and their expectations of the effects of that policy. This means that there are very complicated feedback relationships existing between policy and the behaviour of economic agents, and these relationships pose very difficult problems in econometrics when one tries to exploit the rational expectations insight in formal economic modelling. This volume consists of work by two rational expectations pioneers dealing with the "nuts and bolts" problems of modelling the complications introduced by rational expectations. Each paper deals with aspects of the problem of making inferences about parameters of a dynamic economic model on the basis of time series observations. Each exploits restrictions on an econometric model imposed by the hypothesis that agents within the model have rational expectations.
Author: Mr.Douglas Laxton
Publisher: International Monetary Fund
ISBN: 1451947143
Category : Business & Economics
Languages : en
Pages : 30
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The development and use of forward-looking macro models in policymaking institutions has proceeded at a pace much slower than predicted in the early 1980s. An important reason is that researchers have not had access to robust and efficient solution techniques for solving nonlinear forward-looking models. This paper discusses the properties of a new algorithm that is used for solving MULTIMOD, the IMF’s multicountry model of the world economy. This algorithm is considerably faster and much less prone to simulation failures than to traditional algorithms and can also be used to solve individual country models of the same size.
Author: P. Fisher
Publisher: Springer Science & Business Media
ISBN: 9401580022
Category : Business & Economics
Languages : en
Pages : 215
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It is commonly believed that macroeconomic models are not useful for policy analysis because they do not take proper account of agents' expectations. Over the last decade, mainstream macroeconomic models in the UK and elsewhere have taken on board the `Rational Expectations Revolution' by explicitly incorporating expectations of the future. In principle, one can perform the same technical exercises on a forward expectations model as on a conventional model -- and more! Rational Expectations in Macroeconomic Models deals with the numerical methods necessary to carry out policy analysis and forecasting with these models. These methods are often passed on by word of mouth or confined to obscure journals. Rational Expectations in Macroeconomic Models brings them together with applications which are interesting in their own right. There is no comparable textbook in the literature. The specific subjects include: (i) solving for model consistent expectations; (ii) the choice of terminal condition and time horizon; (iii) experimental design: i.e., the effect of temporary vs permanent, anticipated vs. unanticipated shocks; deterministic vs. stochastic, dynamic vs. static simulation; (iv) the role of exchange rate; (v) optimal control and inflation-output tradeoffs. The models used are those of the Liverpool Research Group in Macroeconomics, the London Business School and the National Institute of Economic and Social Research.
Author: Adam Cagliarini
Publisher:
ISBN:
Category : Interest rates
Languages : en
Pages : 24
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Author: Gary A. Anderson
Publisher:
ISBN:
Category : Rational expectations (Economic theory)
Languages : en
Pages : 62
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Author: Jae Won Lee
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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